Điền "although/despite/in spite of" vào chỗ trống:
1. .......... Peter was not invited to the party, he was the first to come
2. ......... he promises he won't tell lie again, I won't trust him anymore
3. This is an old car. .........., it's very reliable
4. I am exhausted after school. ..........., I will help mom do housework
5. Ted is only 6 years old. He, ............ can play the piano very well
6. She bought that sweater ....... its high price
7. They rushed to the cinema. ..............., they were to late
8. ....... Sally hates crowed places, we've invited her to the prom
9. I didn't like her rude behavior. .............. , I sad nothing
10. I do exercises every day. I haven't lost any weight,.....
Cho \(\Delta ABC\) có \(\widehat{B}\) và \(\widehat{C}\). Vẽ tia phân giác \(\widehat{B}\) cắt AC tại D, vẽ tia phân giác \(\widehat{C}\) cắt AB tại E, BD cắt CE tại F. Chứng minh rằng:
a) BD = CE
b) \(\Delta BEF=\Delta CDF\)
c) AF là tia phân giác của \(\widehat{BAC}\)
Cho \(\Delta ABC\) có \(\widehat{A}\)= 90 độ, vẽ tia phân giác \(\widehat{C}\) cắt AB ở H. Lấy E \(\in\)BC sao cho CA = CE
a) Chứng minh \(\Delta\)CAH = \(\Delta\)CEH và HE \(\perp\) BC
b) Kẻ EK \(\perp\) AC tại K, EK cắt CH tại I. Chứng minh \(\widehat{HEI}-\widehat{HAI}\)
c) Chứng minh HE // AI và \(\widehat{AIE}-\widehat{ABC}\)= 90 độ